Keio Economic Studies


Book Description




Three Essays on Price Competition in Oligopoly


Book Description

This research investigates three issues related to the economic performance of oligopolistic markets where firms produce differentiated products and compete in prices. First of all, this dissertation uses a Markov Perfect Equilibrium approach with fixed periods of commitment of actions to answer the question of what prices a duopolists will charge in equilibrium if they produce horizontally differentiated products, move alternatingly, and compete in prices forever. It is found that firms charge prices which are higher than Nash equilibrium prices but lower than the fully collusive equilibrium prices. Also, contrasted with the Nash equilibrium of the one-shot constituent game, the firm having the significantly higher demand responsiveness to its own price always charges a lower price than the other firm does although it has higher marginal cost. The dissertation then proceeds to study whether a firm can overcome its cost disadvantage by upgrading its product over the rival's, and if so, whether there exists a profit-division which will induce the low cost firm and the high cost firm to collude and no one has an incentive to cheat. The results show that (1) the ability of upgrading the product over the rival's can allow a high cost firm to earn higher profit than a cost advantaged low cost firm; (2) there exists at least one profit-division which can sustain full collusion; and (3) in the collusive equilibrium firms enlarge their quality differences to alleviate the price tension between their products. Finally, this work investigates the welfare effect of mergers which occur in an oligopolistic industry where firms produce differentiated products. It is shown that for the merger to be socially beneficial, the number of the merging firms must be less than the total number of firms in the industry minus the ratio of the products' own elasticity to cross elasticity. The analysis indicates that the welfare effect of a merger of a specific size depends on the substitutability among products of the industry.




Applied Stochastic Control of Jump Diffusions


Book Description

Here is a rigorous introduction to the most important and useful solution methods of various types of stochastic control problems for jump diffusions and its applications. Discussion includes the dynamic programming method and the maximum principle method, and their relationship. The text emphasises real-world applications, primarily in finance. Results are illustrated by examples, with end-of-chapter exercises including complete solutions. The 2nd edition adds a chapter on optimal control of stochastic partial differential equations driven by Lévy processes, and a new section on optimal stopping with delayed information. Basic knowledge of stochastic analysis, measure theory and partial differential equations is assumed.










The Stability Concept of Evolutionary Game Theory


Book Description

These Notes grew from my research in evolutionary biology, specifically on the theory of evolutionarily stable strategies (ESS theory), over the past ten years. Personally, evolutionary game theory has given me the opportunity to transfer my enthusiasm for abstract mathematics to more practical pursuits. I was fortunate to have entered this field in its infancy when many biologists recognized its potential but were not prepared to grant it general acceptance. This is no longer the case. ESS theory is now a rapidly expanding (in both applied and theoretical directions) force that no evolutionary biologist can afford to ignore. Perhaps, to continue the life-cycle metaphor, ESS theory is now in its late adolescence and displays much of the optimism and exuberance of this exciting age. There are dangers in writing a text about a theory at this stage of development. A comprehensive treatment would involve too many loose ends for the reader to appreciate the central message. On the other hand, the current central message may soon become obsolete as the theory matures. Although the restricted topics I have chosen for this text reflect my own research bias, I am confident they will remain the theoretical basis of ESS theory. Indeed, I feel the adult maturity of ESS theory is close at hand and I hope the text will play an important role in this achievement.




Oligopoly Pricing


Book Description

Applies a modern game-theoretic approach to develop a theory of oligopoly pricing. The text relates classic contributions to the field of modern game theory and discusses basic game-theoretic tools and equilibrium, paying particular attention to developments in the theory of supermodular games.




Asymmetric Information and the Market Structure of the Banking Industry


Book Description

The paper analyzes the effects of informational asymmetries on the market structure of the banking industry in a multi-period model of spatial competition. All lenders face uncertainty with regard to borrowers’ creditworthiness, but, in the process of lending, incumbent banks gather proprietary information about their clients, acquiring an advantage over potential entrants. These informational asymmetries are an important determinant of the industry structure and may represent a barrier to entry for new banks. The paper shows that, in contrast with traditional models of horizontal differentiation, the steady-state equilibrium is characterized by a finite number of banks even in the absence of fixed costs.